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22161330 = 2335211389
BaseRepresentation
bin101010010001…
…0011110110010
31112200220122000
41110202132302
521133130310
62110554430
7356240202
oct124423662
945626560
1022161330
1111567154
127508a16
13478c119
142d2c402
151e2b4c0
hex15227b2

22161330 has 64 divisors (see below), whose sum is σ = 59529600. Its totient is φ = 5866560.

The previous prime is 22161313. The next prime is 22161331. The reversal of 22161330 is 3316122.

22161330 is a `hidden beast` number, since 2 + 21 + 613 + 30 = 666.

It is a super-2 number, since 2×221613302 = 982249094737800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22161331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56776 + ... + 57164.

It is an arithmetic number, because the mean of its divisors is an integer number (930150).

Almost surely, 222161330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22161330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29764800).

22161330 is an abundant number, since it is smaller than the sum of its proper divisors (37368270).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22161330 is a wasteful number, since it uses less digits than its factorization.

22161330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 22161330 is about 4707.5821819698. The cubic root of 22161330 is about 280.8871944132.

Adding to 22161330 its reverse (3316122), we get a palindrome (25477452).

The spelling of 22161330 in words is "twenty-two million, one hundred sixty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 211 270 389 422 633 778 1055 1167 1266 1899 1945 2110 2334 3165 3501 3798 3890 5697 5835 6330 7002 9495 10503 11394 11670 17505 18990 21006 28485 35010 52515 56970 82079 105030 164158 246237 410395 492474 738711 820790 1231185 1477422 2216133 2462370 3693555 4432266 7387110 11080665 22161330